Two-forms on four-manifolds and elliptic equations
Differential Geometry
2007-05-23 v1 Symplectic Geometry
Abstract
We define a general class of elliptic equations for 2-forms on 4-manifolds, of which the complex Monge-Ampere equation is a prototype. We obtain some regularity results and discuss various connections (some speculative) with modern symplectic 4-manifold theory.
Cite
@article{arxiv.math/0607083,
title = {Two-forms on four-manifolds and elliptic equations},
author = {S. K. Donaldson},
journal= {arXiv preprint arXiv:math/0607083},
year = {2007}
}